Abstract
In a reversible hydrodynamic approximation, a closed system of second order dynamic equation with respect to the displacement vector of an elastic porous body and pore pressure has been obtained. The Cauchy problem for the obtained system of poroelasticity equations in the stationary case is considered. The Carleman formula for the Cauchy problem under consideration has been constructed.
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Translated from Sovremennaya Matematika. Fundamental’nye Napravleniya (Contemporary Mathematics. Fundamental Directions), Vol. 65, No. 1, Contemporary Problems in Mathematics and Physics, 2019.
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Imomnazarov, K.K., Jabborov, N.M. Application of A-Analytic Functions to the Investigation of the Cauchy Problem for a Stationary Poroelasticity System. J Math Sci 265, 33–42 (2022). https://doi.org/10.1007/s10958-022-06042-0
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DOI: https://doi.org/10.1007/s10958-022-06042-0